Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
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Publication:2883325
DOI10.1515/acv.2011.009zbMath1238.35095OpenAlexW2322326521MaRDI QIDQ2883325
Verena Bögelein, Christoph Scheven, Frank Duzaar, Jens Habermann
Publication date: 8 May 2012
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv.2011.009
electro-rheological fluidsVMO-coefficientsnon-standard growth conditionpartial Hölder- and Morrey-type regularity
Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35)
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Cites Work
- Partial continuity for elliptic problems
- Regularity of minimizers of some variational integrals with discontinuity
- Hölder continuity of the solutions of some nonlinear elliptic systems
- Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
- Nonlinear elliptic systems with Dini continuous coefficients
- A remark on \(L^{2,\lambda}\) regularity for minimizers of quasilinear functionals
- Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
- Partial regularity results for minimizers of quasiconvex functionals of higher order
- Regularity results for stationary electro-rheological fluids
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- On steady flows of incompressible fluids with implicit power-law-like rheology
- Mathematical modeling of electrorheological materials
